For compact rank one symmetric spaces, string point invertibility over a field of characteristic p holds exactly when p equals the Euler characteristic, and the same condition yields uniform resonance bounds on critical levels of loop homology classes.
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Resonances and string point invertibility for compact rank one symmetric spaces
For compact rank one symmetric spaces, string point invertibility over a field of characteristic p holds exactly when p equals the Euler characteristic, and the same condition yields uniform resonance bounds on critical levels of loop homology classes.